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Finding the Third Proportional to 176,544 and 251,496

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Solution

The third proportional to 176,544 and 251,496 is: 358,268.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,544 : 251,496 = 251,496 : x
  2. Step 2: Convert to fraction form
    176,544/251,496 = 251,496/x
  3. Step 3: Cross multiply
    176,544x = 251,496 × 251,496
  4. Step 4: Simplify right side
    176,544x = 63,250,238,016
  5. Step 5: Solve for x
    x = 63,250,238,016/176,544
  6. Step 6: Final answer
    x = 358,268.98

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.